Find the measure of 45. 100 100 45 [?]

The circumference of the base of a cylinder with a diameter of 10cm

storchak [24]

C = 2πr
C = 2π5
C = 2 (3.14) (5)
C = 2 (15.7)
C= 31.4

4 0

2 years ago

The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value o

Yuki888 [10]

If the exponential function $y=ab^x$ passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

$y=ab^x$

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function $y=ab^x$

$25=ab^3$ ............................(1)

Substitute x = 8 and y = 10 into the function $y=ab^x$

$10=ab^8$ .............................(2)

Divide equation (2) by equation (1)

$\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833$

Therefore, if the exponential function $y=ab^x$ passes through the points (3,25) and (8,10), the value of b is 0.833

Learn more on exponential functions here: brainly.com/question/12940982

6 0

2 years ago

Solve: sin5x - cos2x + sin x = 0.

mote1985 [20]

Answer:

x = 10 , 45 degrees.

Step-by-step explanation:

This seems a tricky one .

I guess we can use sin A + sin B = 2 sin (A+B)/2 cos (A - B) / 2

so sin 5x + sin x = 2 sin 3x cos 2x so our equation becomes

2 sin 3x cos 2x - cos 2x = 0

cos 2x ( 2 sin 3x - 1) = 0

so 2 sin 3x = 1

sin 3x = 1/2

giving 3x = 30 degrees and x = 10 degrees

or cos 2x = 0

so 2x = 90

giving x = 45 degrees.

8 0

2 years ago

Which function has a graph with a vertical

raketka [301]

Answer:

$f(x)=\frac{1}{x-7}-3$ , see the graph attached for a visual reference.

Step-by-step explanation:

Vertical asymptotes are only present in rational functions where the parent function $f(x)=\frac{1}{x}$ has a vertical asymptote at the line $x=0$ and a horizontal asymptote at the line $y=0$ . Because the vertical asymptote has to be $x=7$ , the denominator must be x-7 in order for the denominator to equal 0. For the horizontal asymptote to be $y=-3$ , then 3 must be subtracted from the rational function. Therefore, the function that has these asymptotes is $f(x)=\frac{1}{x-7}-3$ .

6 0

2 years ago

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Mia's cat weighs 13 pounds, 7 ounces. about what is the weight in kilograms?

gtnhenbr [62]

There are 0.453592 kilograms in 1 pound.

Multiply 13 by 0.453592 and get 5.8967

Now 0.0283495 kilograms in one ounce.

Multiply 7 by 0.0283495 and get 0.198447.

Now add them and get 6.095147

7 0

2 years ago

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